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Tree-level soft emission of a quark pair in association with a gluon

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arxiv 2206.01584 v1 pith:ZFNHIDJC submitted 2022-06-03 hep-ph

Vittorio Del Duca , Claude Duhr , Rayan Haindl , Zhengwen Liu This is my paper · ORCID
classification hep-ph
keywords softcorrelationsemissiongluonpairtree-levelamplitudesassociation
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We compute the tree-level current for the emission of a soft quark-antiquark pair in association with a gluon. This soft current is the last missing ingredient to understand the infrared singularities that can arise in next-to-next-to-next-to-leading-order (N$^3$LO) computations in QCD. Its square allows us to understand for the first time the colour correlations induced by the soft emission of a quark pair and a gluon. We find that there are three types of correlations: Besides dipole-type correlations that have already appeared in soft limits of tree-level amplitudes, we uncover for the first time also a three-parton correlation involving a totally symmetric structure constant. We also study the behaviour of collinear splitting amplitudes in the triple-soft limit, and we derive the corresponding factorisation formula.

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Cited by 6 Pith papers

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  4. Triple real-emission contribution to the zero-jettiness soft function at N3LO in QCD

    hep-ph 2024-12 conditional novelty 6.0 of 10

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    Two-pair soft quark current is derived at tree level, and its square reduces to double-dipole, dipole, and triple-color correlations.

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